00:01
Hello.
00:02
So in this question we basically need to find the probability where z is less than 1.65.
00:09
And this has also been represented by the shaded region.
00:12
Okay, so let us see how to see the how to cr z table to find a different probabilities.
00:18
So for us to follow, you must know that the table here, the given side table gives the a cumulative property for z.
00:26
Is the area under the standard normal curve to the left of z.
00:30
Okay, so basically if we'll find some z here and then find its probability that would actually give the probability of area to the left of zzz is different values at our x axis.
00:42
And the probability that are given point is lie is lying left of the z is given by this table.
00:49
Okay, so basically in this question, first of all we need to find the z for less than 1.65.
00:55
So from here we'll find z is equal to 1.65.
00:59
The probability for z is equal to 1.65.
01:02
That would simply be the probability less than 1.65.
01:05
Because because of this area.
01:07
Okay, so let us find it.
01:09
So to find it.
01:10
First of all, from here, from the vertical axis we need to find 1.6 because the first two of 1.65 is 1.6.
01:20
So here we have found this as 1.6.
01:23
Okay, so this is 1.6 and from our horizontal table we'll find 0.5 because 1.6 plus 0.5 would make 1.65.
01:35
Okay, so from here we'll find 0.05.
01:38
So if you will um see the cross of 1.6 and 0.05 you will find it as 0.9505.
01:48
So your probability for z less than 1.65 would be equal to 0.95...
13 comments
Erin S.
April 7, 2023
Your explanation was so clear, Razan! Thanks for breaking it down.
Andrea M.
May 9, 2023
the explanation about subtracting the probability from 1 to find the probability for z > 191 was a great way to showcase how to approach such problems in statistics!
Cheryl B.
July 27, 2023
Razans explanation about using the Z table to find probabilities for zscores less than or greater than a certain value was pretty clear
Sierra H.
August 10, 2023
Student Yo can someone explain how to find the probability Pz 165 Commentator Yo so when Z is less than 165 the probability is 09505 according to the Z table. Pretty useful for stats right
John J.
August 17, 2023
yo mr k, u really nailed that explanation on finding the probability for z less than 1.65. mad props for breaking it down and making it crystal clear! much appreciated
Rachel F.
September 13, 2023
hey mr. k thanks for that dope walkthrough of finding the probability for z > 1.91 you made it look easy peasy thank you so much
Jennifer S.
September 16, 2023
okay, so like the probability for z less than 165 is 09505 but dude the explanation was kinda longwinded dont ya think but hey at least now we know how to find it using the z table! probability101
Joshua C.
September 29, 2023
Commentator
Darlene B.
October 4, 2023
yo, for real i feel you on that explanation length?? but i guess we gotta appreciate the stepby-step breakdown anyways, the probability for z greater than 191 is 00281 keepin it real with those z values yo!
Robin R.
October 5, 2023
hey mr! k, huge thanks for breaking down how to find the probability for z > 1.91! your explanation was lit, thanks a ton!
David H.
October 22, 2023
Math Nerd Hey can someone help with finding the probability Pz 191 Commentator Alright so for Z greater than 191 we need to subtract the probability to the left of 191 from 1 since the total probability is 1. The answer comes out to be 0.0281. Stats can
Alexis C.
November 17, 2023
Yooo Mr. K major thanks for guiding us through finding the probability for Z 165 Your explanation was straight fire appreciate it big time!
Jacob M.
November 30, 2023
Ur video solutions are the bomb!